14949 + Interview Questions in Maths in Class 11 Page 257 InterviewSolution

12801.	If the curves (x^(2))/(alpha)+(y^(2))/(4)=1and y^(3)=16x intresect at right angles, then a value of alpha is
Answer» 2 `4//3` `1//2` `3//4` ANSWER :B

Discussion

12802.	If x^2+y^2=2 and y^11+A.y^(-3)=0 then A =
Answer» ANSWER :−[2−x^2]^7

Discussion

12803.	The table given belowshows the number of visitors ( in hundreds ) to a certain exhibition over a period of two weeks : Calculate the 7 day moving averages and illustrate these and the original information on the same table.
Answer» ANSWER :7 Day moving AVERAGES are : `60 . 86 , 61 . 29 , 61 , 14 , 59 , 29 , 58 . 86 , 59 . 71 , 60 43 , 61,71 `

Discussion

12804.	Let f(x)=(x+1)^(2)-1, x ge -1. Then the set {x:f(x)=f^(-1)(x)} is
Answer» `{0,-1,(-3 PM i SQRT(3))/(2), (-3-i sqrt(3))/(2)}` `{0,1,-1}` `{0,1}` empty Answer :C

Discussion

12805.	sin 2x.sin 3x.sin 4x
Answer» Answer :`1/4 ( 81 sin 9X- 25 -9 sin 3x - sin X)`

Discussion

12806.	Find the number of permutations of the letters of the word ALLAHABAD.
Answer» ANSWER :7560

Discussion

12807.	Number of terms in expansion (x+y)^(1000) + (x-y)^(1000) are .......... .
Answer» ANSWER :501

Discussion

12808.	Find equaiton of hyperbola satisfying given conditons Focus (0,3), eccentricity 2 and equation of the directrix is x + y - 1 = 0. (Hint : Use definition of the hyperbola).
Answer» ANSWER :`x^(2) + y^(2) + 4XY - 4x + 2y - 7 = 0`

Discussion

12809.	Show that the functionf (x) = {{:((x -1 ) sin ((1)/(x -1))"for" x ne a), (0 """for" x =a):} is not differentiable at x =a.
Answer» ANSWER :`THEREFORE F (X) ` is not DIFFERENTIABLE at ` x=a`

Discussion

12810.	Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is the truth value of d ?
Answer» ANSWER :T

Discussion

12811.	If there is an error of 0.05 cm while measuring the side of an equilateral triangle ás 10 cms, then the percentage error in area is
Answer» 5 4 1 0.5 Answer :C

Discussion

12812.	Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is the truth value of a ?
Answer» ANSWER :T

Discussion

12813.	Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is the truth value of b ?
Answer» ANSWER :F

Discussion

12814.	Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is truth value of c ?
Answer» ANSWER :T

Discussion

12815.	(-3, 2) is one end point of the diameter of circle x^(2) + y^(2) - 8x - 4y + 5 = 0, then the coorinates of the other end point is ………..
Answer» (5, 3) (6, 2) (1, -8) (11. 2) ANSWER :D

Discussion

12816.	The value (s) of x satisfying the equation sin^(-1)\|sinx\|=sqrt(sin^(-1)\|sinx\|) is/are given by (n is any integer0
Answer» `NPI-1` `npi` `npi+1` `(2n+1)(PI)/2+1` ANSWER :A::B::C

Discussion

12817.	A farm house uses atleast 800 kg of special food daily. The special food is a mixture of corn and soyabean with the following compositions The dietary requirements of the special food stipulate atleast 30% protein and at most 5% fibre. Determine the daily minimum cost of the food mix.
Answer» ANSWER :RS 11294

Discussion

12818.	The value of lim_(\|x\| to oo) cos(tan^(-1)(sin(tan^(-1)x))) is equal to
Answer» `-1` `SQRT(2)` `(-1)/(sqrt(2))` `(1)/(sqrt(2))` ANSWER :D

Discussion

12819.	If f(x) = sin^(-1)(2x/(1+x^(2)) find f(x).
Answer» ANSWER :`dy/dx = 2/(1+x^(2))`

Discussion

12820.	A committee of two persons is selected from two men and two women. What is the Probability probability that the committee will have (a) no man ? (b) one man ? (c) two men?
Answer» ANSWER :` = 1/6`

Discussion

12821.	Graph of identity function passes from origin and also from first , third quadrant .
Answer» ANSWER :TRUE STATEMENT

Discussion

12822.	If the slope of one line is double the slope of another line of the pair of lines (x^(2))/(a)+(2xy)/(h)+(y^(2))/(b)=0 then ab:h^(2)=
Answer» `9:8` `3:2` `8:9` `1:2` ANSWER :A

Discussion

12823.	If y = 5x^(4) + 3x^(3) - 2x^(2) + 7x - 1 find y_(3).
Answer» ANSWER :`y_(3) = 120X + 8`

Discussion

12824.	Find the equation of locus of the points which is collinear with the points (3,4) and (-4,3).
Answer» ANSWER :`x-7y+25=0`

Discussion

12825.	Internal bisectors of DeltaABC meet the circumcircle at points D, E and F then Ratio of area of triangle ABC and triangle DEF is
Answer» `GE1` `LE1` `ge1//2` `le1//2` ANSWER :B

Discussion

12826.	Find the derivative of f form the first principle. Where f is give by , f(x)=(2x+3)/(x-2)
Answer» ANSWER :`-(7)/((x-2)^(2))`

Discussion

12827.	Find the distance of the point (2, 1, -1) from the plane 6x-3y+2z-14=0.
Answer» ANSWER :1

Discussion

12828.	If 6Sin^(-1)(x^(2)-6x+12)=2pi, then the value of x, is
Answer» 1 2 3 does not exists Answer :D

Discussion

12829.	If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal to
Answer» `SIN^(2)THETA+sin^(2)beta` `sin^(2)theta+COS^(2)beta` `cos^(2)theta+cos^(2)theta` `cos^(2)theta+sin^(2)beta` Answer :B

Discussion

12830.	Draw the graphs of the following : y = {{:(x^(2) , if , x lt 0),(x , if, 0lexle1 ),((1)/(x),if,xgt1):}
Answer» ANSWER :`(##AKS_ELT_AI_MAT_XI_VIB_P02_C01_E01_025_A01##)`

Discussion

12831.	The points (3, 4) and (2, -6) are situated on the .......... of the line 3x - 4y - 8 = 0.
Answer» Answer :the points (3, 4) and (2, -6) lies on OPPOSITE side to the LINE.

Discussion

12832.	alpha and beta are the positive acute angles and satisfying equations 5 sin 2 beta = 3 sin 2 alpha and tan beta = 3 tan alpha simultaneously. Then the value of tan alpha *tan beta is _______________.
Answer» ANSWER :3

Discussion

12833.	If sin^(4) x = 1 + tan^(8) xthen x has
Answer» ONE solution two solutions three solutions no solution Answer :D

Discussion

12834.	If the function f(x) given by f(x)={{:(k^(2)x-k,if, x ge1),(2,if,x le1):} is continuous on R then find the values of K.
Answer» ANSWER :`k=-1,2`

Discussion

12835.	Let f(x) = x(2-x) ,0 le x le2. If the definition of f is extended over the set R- [0,2] by f(x+2) = f(x) then f is a
Answer» PERIODIC FUNCTION of PERIOD 1 non periodic function periodic function of period 2 periodic function of period `1/2` ANSWER :C

Discussion

12836.	Find the value ofsin ((-11pi )/( 3))
Answer» ANSWER :`(SQRT3)/(2)`

Discussion

12837.	Set of point of discontinuity off(x) = (x^(2))/(\|x\|)is
Answer» {0} R `R^(+)` Z Answer :A

Discussion

12838.	If A=((x,0,0),(0,x,0),(0,0,x)) then A^(n)=(ninN)
Answer» `X^(N)A` `x^(n-1)A` `"x A"` `-x^(n)A` ANSWER :B

Discussion

12839.	A photocopy store charges Rs. 1.50 per copy for the first 10 copies and Rs. 1.00 per copy after the 10th copy. Let x be the number of copies, and let y be the total cost of photocopying. Find the cost of making 40 copies
Answer» ANSWER :RS. 45

Discussion

12840.	Find the mean deviation about the mean for the data is Question: 38,70,48,40,42,55,63,45,54,44
Answer» SOLUTION : Here `n=10` `:.` MEAN `BARX=(sumx_(i))/n=500/10=50` and mean DEVIATION `=(sum\|x_(i)-barx\|)/n=84/10=8.4`

Discussion

12841.	Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + bar(c ) xx (bar(a)+bar(b))
Answer» ANSWER :`VEC(0)`

Discussion

12842.	Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4^("th")by 18.
Answer» ANSWER :3, –6, 12, –24

Discussion

12843.	Calculate the mean deviation and coefficient of mean deviation for the following distribution:
Answer» ANSWER :MEAN DEVIATION = 14.08 COEFFT. of mean deviation = 0.554

Discussion

12844.	Let A={1,2},B={3,4}" and "C={4,5}. We have verify that (AxxB)xxC=Axx(BxxC) and hence find AxxBxxC.
Answer» SOLUTION :We have `AxxB={1,2}XX{3,4}={(1,3),(1,4).(2,3),(2,4)}` `implies""(AxxB)xxC={(1,3),(1,4),(2,3),(2,4)}xx{4,5}` `={(1,3,4),(1,3,5),(1,4,4),(1,4,5),(2,3,4),(2,3,5),(2,4,4),(2,4,5)}.` Again, `BxxC={3,4}xx{4,5}={(3,4),(3,5),(4,4),(4,5)}` `implies""Axx(BxxC)={1,2}xx{(3,4),(3,5),(4,4),(4,5)}` `={(1,3,4),(1,3,5),(1,4,4),(1,4,5),(2,3,4),(2,3,5),(2,4,4),(2,4,5)}.` `:.""(AxxB)xxC=Axx(BxxC)=AxxBxxC.` HENCE, `(AxxBxxC)={(1,3,4),(1,3,5),(1,4,4),(1,4,5),(2,3,4),(2,3,5),(2,4,4),(2,4,5)}.`

Discussion

12845.	There are three events A, B and C of which one and only one can happpen. If the odds are 7 to 4 agains A and 5 to3 against B,then odds against C is:
Answer» `23:65` `65:23` `23:88` `88:23` ANSWER :B

Discussion

12846.	If sin^(4)(x//3)+cos^(4)(x//3)gt1//2 then x in ________
Answer» `R - { X // x = ( 3 n pi)/( 2) PM (pi)/( 4), n in Z}` `R - { x // x = ( 3 n pi)/( 2) pm (pi)/( 2), n in Z}` `R - { x // x = ( 3 n pi)/( 2) pm (3pi)/( 4), n in Z}` `R - { x // x = ( 3 n pi)/( 2) pm (3pi)/( 2), n in Z}` ANSWER :C

Discussion

12847.	The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) is
Answer» `X^(2)+y^(2)=a^(2)` `x^(2)-y^(2)=a^(2)` `2X^(2)-y^(2)=a^(2)` `x^(2)-2Y^(2)=a^(2)` ANSWER :2

Discussion

12848.	Find the mean for the followingdata 6, 7, 10, 12, 13, 4, 8, 12
Answer» ANSWER :9, 9.25

Discussion

12849.	f (x) = (sin x )/(x) , x ne 0 andf(x) is continous at x = 0 then f(0) =
Answer» 0 1 -1 2 Answer :B

Discussion

12850.	Derive the equation of the locur of a point equidistant from the points (1, -2, 3) and (-3,4,2).
Answer» Answer :`8x - 12Y + 2Z + 15 =0`

Discussion

Explore topic-wise InterviewSolutions in .

If the curves (x^(2))/(alpha)+(y^(2))/(4)=1and y^(3)=16x intresect at right angles, then a value of alpha is

If x^2+y^2=2 and y^11+A.y^(-3)=0 then A =

The table given belowshows the number of visitors ( in hundreds ) to a certain exhibition over a period of two weeks : Calculate the 7 day moving averages and illustrate these and the original information on the same table.

Let f(x)=(x+1)^(2)-1, x ge -1. Then the set {x:f(x)=f^(-1)(x)} is

sin 2x.sin 3x.sin 4x

Find the number of permutations of the letters of the word ALLAHABAD.

Number of terms in expansion (x+y)^(1000) + (x-y)^(1000) are .......... .

Find equaiton of hyperbola satisfying given conditons Focus (0,3), eccentricity 2 and equation of the directrix is x + y - 1 = 0. (Hint : Use definition of the hyperbola).

Show that the functionf (x) = {{:((x -1 ) sin ((1)/(x -1))"for" x ne a), (0 """for" x =a):} is not differentiable at x =a.

Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is the truth value of d ?

If there is an error of 0.05 cm while measuring the side of an equilateral triangle ás 10 cms, then the percentage error in area is

Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is the truth value of a ?

Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is the truth value of b ?

Let a,b,c and d represent simple statements. Assume thata ^^ d is true, b ^^ c is false,and~c is false. What is truth value of c ?

(-3, 2) is one end point of the diameter of circle x^(2) + y^(2) - 8x - 4y + 5 = 0, then the coorinates of the other end point is ………..

The value (s) of x satisfying the equation sin^(-1)|sinx|=sqrt(sin^(-1)|sinx|) is/are given by (n is any integer0

A farm house uses atleast 800 kg of special food daily. The special food is a mixture of corn and soyabean with the following compositions The dietary requirements of the special food stipulate atleast 30% protein and at most 5% fibre. Determine the daily minimum cost of the food mix.

The value of lim_(|x| to oo) cos(tan^(-1)(sin(tan^(-1)x))) is equal to

If f(x) = sin^(-1)(2x/(1+x^(2)) find f(x).

A committee of two persons is selected from two men and two women. What is the Probability probability that the committee will have (a) no man ? (b) one man ? (c) two men?

Graph of identity function passes from origin and also from first , third quadrant .

If the slope of one line is double the slope of another line of the pair of lines (x^(2))/(a)+(2xy)/(h)+(y^(2))/(b)=0 then ab:h^(2)=

If y = 5x^(4) + 3x^(3) - 2x^(2) + 7x - 1 find y_(3).

Find the equation of locus of the points which is collinear with the points (3,4) and (-4,3).

Internal bisectors of DeltaABC meet the circumcircle at points D, E and F then Ratio of area of triangle ABC and triangle DEF is

Find the derivative of f form the first principle. Where f is give by , f(x)=(2x+3)/(x-2)

Find the distance of the point (2, 1, -1) from the plane 6x-3y+2z-14=0.

If 6Sin^(-1)(x^(2)-6x+12)=2pi, then the value of x, is

If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal to

Draw the graphs of the following : y = {{:(x^(2) , if , x lt 0),(x , if, 0lexle1 ),((1)/(x),if,xgt1):}

The points (3, 4) and (2, -6) are situated on the .......... of the line 3x - 4y - 8 = 0.

alpha and beta are the positive acute angles and satisfying equations 5 sin 2 beta = 3 sin 2 alpha and tan beta = 3 tan alpha simultaneously. Then the value of tan alpha *tan beta is _______________.

If sin^(4) x = 1 + tan^(8) xthen x has

If the function f(x) given by f(x)={{:(k^(2)x-k,if, x ge1),(2,if,x le1):} is continuous on R then find the values of K.

Let f(x) = x(2-x) ,0 le x le2. If the definition of f is extended over the set R- [0,2] by f(x+2) = f(x) then f is a

Find the value ofsin ((-11pi )/( 3))

Set of point of discontinuity off(x) = (x^(2))/(|x|)is

If A=((x,0,0),(0,x,0),(0,0,x)) then A^(n)=(ninN)

A photocopy store charges Rs. 1.50 per copy for the first 10 copies and Rs. 1.00 per copy after the 10th copy. Let x be the number of copies, and let y be the total cost of photocopying. Find the cost of making 40 copies

Find the mean deviation about the mean for the data is Question: 38,70,48,40,42,55,63,45,54,44

Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + bar(c ) xx (bar(a)+bar(b))

Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4^("th")by 18.

Calculate the mean deviation and coefficient of mean deviation for the following distribution:

Let A={1,2},B={3,4}" and "C={4,5}. We have verify that (AxxB)xxC=Axx(BxxC) and hence find AxxBxxC.

There are three events A, B and C of which one and only one can happpen. If the odds are 7 to 4 agains A and 5 to3 against B,then odds against C is:

If sin^(4)(x//3)+cos^(4)(x//3)gt1//2 then x in ________

The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) is

Find the mean for the followingdata 6, 7, 10, 12, 13, 4, 8, 12

f (x) = (sin x )/(x) , x ne 0 andf(x) is continous at x = 0 then f(0) =

Derive the equation of the locur of a point equidistant from the points (1, -2, 3) and (-3,4,2).